Finding the Third Proportional to 31,339 and 67,871

Step by Step Solution

1. Step 1: Write the proportion equation
   31,339 : 67,871 = 67,871 : x
2. Step 2: Convert to fraction form
   31,339/67,871 = 67,871/x
3. Step 3: Cross multiply
   31,339x = 67,871 × 67,871
4. Step 4: Simplify right side
   31,339x = 4,606,472,641
5. Step 5: Solve for x
   x = 4,606,472,641/31,339
6. Step 6: Final answer
   x = 146,988.50